# 3D Shapes Worksheets, Questions and Revision

GCSE 1 - 3KS3AQAEdexcelOCRWJECFoundationAQA 2022Edexcel 2022WJEC 2022

## 3D Shapes

3D shapes have a length, width and depth. All objects you can touch in the real word are technically 3D. Some 3D shapes you’ll see much more frequently than others, and their names are important! They’re listed further down.

Make sure you are happy with the following topics before continuing:

Level 1-3 GCSE KS3

## Vocabulary

A quick note on some vocabulary of 3D shapes:

1. Vertices – a vertex is where two or more edges meet.

2. Edges – the straight and curved lines that form the shape are edges.

3. Faces – the 2D shapes on the outsides of the 3D shapes (e.g. the $6$ squares on the outside of a cube) are called faces.

Some of these shapes you’ll naturally be more familiar with than others.

Note: drawing 3D shapes is hard but something you may be asked to do!

Level 1-3 GCSE KS3

A quick note on some 3D shapes and their Faces, Edges and Vertices.

Level 1-3GCSEKS3

## Example Questions

<p style=”text-align: left;”>A cuboid has all right-angles, and as a result every single face is a rectangle. There can be lots of different kinds of cuboids, and therefore lots of different correct answers to this question. Two examples of cuboids are shown below.</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p style=”text-align: left;”>Drawing 3D shapes is tricky, as mentioned. If you didn’t get this quite right, have a think about these two cuboids and try to work out what makes them correct.</p>

a) This is a square-based pyramid. And don’t forget “square-based”, it’s important! Pyramids can have all kinds of different shaped bases. A tetrahedron might also be called a “triangle-based pyramid”, for example.

*If you said rectangle-based pyramid, because you were unsure whether the base in the picture is a square, this is also accepted.

b) The circular base and single sharp vertex mean: this is a cone.

c) The two identical circular ends mean: this is a cylinder.

Firstly, let’s recall what a triangular prism looks like.

So, it has two triangular faces – one on the front and one at the back.

Then, we have to consider the faces going around the middle of the shape. Looking, we can see that there are three rectangular faces.

Therefore, the total number of faces on a triangular prism is $2+3=5$.

The shape, called a frustum, is a square based pyramid with a portion of the top removed. Hence , it has two square surfaces at the top and bottom as well as four trapezia. It total the shape has 6 faces.

Counting the lines that make up the shape: there is 4 on the top, 4 on the bottom and 4 connecting the bottom to the top. So there are 12 edges altogether.

Vertices are the points where the edges intersect. In this instance  there are 8 vertices.

The shape is a sphere which has a single surface hence has only 1 face as well as 0 edges and 0 vertices.

Level 1-3GCSEKS3

## Worksheet and Example Questions

### (NEW) 3D Shapes Exam Style Questions - MME

Level 1-3 GCSENewOfficial MME

## You May Also Like...

### GCSE Maths Revision Cards

Revise for your GCSE maths exam using the most comprehensive maths revision cards available. These GCSE Maths revision cards are relevant for all major exam boards including AQA, OCR, Edexcel and WJEC.

£8.99

### GCSE Maths Revision Guide

The MME GCSE maths revision guide covers the entire GCSE maths course with easy to understand examples, explanations and plenty of exam style questions. We also provide a separate answer book to make checking your answers easier!

From: £14.99